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Simplifying 3(n + 1) = 11 + 4n Reorder the terms: 3(1 + n) = 11 + 4n (1 * 3 + n * 3) = 11 + 4n (3 + 3n) = 11 + 4n Solving 3 + 3n = 11 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 3 + 3n + -4n = 11 + 4n + -4n Combine like terms: 3n + -4n = -1n 3 + -1n = 11 + 4n + -4n Combine like terms: 4n + -4n = 0 3 + -1n = 11 + 0 3 + -1n = 11 Add '-3' to each side of the equation. 3 + -3 + -1n = 11 + -3 Combine like terms: 3 + -3 = 0 0 + -1n = 11 + -3 -1n = 11 + -3 Combine like terms: 11 + -3 = 8 -1n = 8 Divide each side by '-1'. n = -8 Simplifying n = -8
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